23643 ÷ 8 = 2955 R3
Alright, let's work through the division of 23643 by 8 step by step.

Step 1:
8 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 8

Step 2:
8 goes into 23 2 times with a remainder of 7.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 16 from 23 to get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 8

Step 3:
8 goes into 76 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 29
Subtract 72 from 76 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 8

Step 4:
8 goes into 44 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 295
Subtract 40 from 44 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 8

Step 5:
8 goes into 43 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 2955
Subtract 40 from 43 to get 3.

The final result is 2955 with a remainder of 3.